内容简介
本书并不假定在任何概率论的先修知识。通过正文与习题旁征博引，引进了大量近代统计处理的新技术和一些国内同类教材中不能见而广为使用的分布。其内容包括工科概率论入门又包括了经典统计和现代统计的基础部分。其理论较为现代化、难度适中，覆盖面远比国内教材大，而在体系结构与内容安排上富于新意。本书可以作为工科、管理类学科专业本科生、研究生教材，也可供教师、工程技术人员自学之用。
章节目录
1PROBABILITY THEORY
1.1Set Theory
1.2Basics of Probability Theory
1.3Conditional Probability and Independence
1.4Random Variables
1.5Distribution Functions
1.6Density and Mass Functions
1.7Exercises
1.8Miscellanea
2TRANSFORMATIONS AND EXPECTATIONS
2.1Distributions of Functions of a Random Variable
2.2Expected Values
2.3Moments and Moment Generating Functions
2.4Differentiating Under an Integral Sign
2.5Exercises
2.6Miscellanea
3COMMON FAMILIES OF DISTRIBUTIONS
3.1Introduction
3.2Discrete Distributions
3.3Continuous Distributions
3.4Exponential Families
3.5Location and Scale Families
3.6Inequalities and Identities
3.7Exercises
3.8Miscellanea
4MULTIPLE RANDOM VARIABLES
4.1Joint and Marginal Distributions
4.2Conditional Distributions and Independence
4.3Bivariate Transformations
4.4Hierarchical Models and Mixture Distributions
4.5Covariance and Correlation
4.6Multivariate Distributions
4.7Inequalities
4.8Exercises
4.9Miscellanea
5PROPERTIES OF A RANDOM SAMPLE
5.1Basic Concepts of Random Samples
5.2Sums of Random Variables from a Random Sample
5.3Sampling from the Normal Distribution
5.4Order Statistics
5.5Convergence Concepts
5.6Generating a Random Sample
5.7Exercises
5.8Miscellanea
6PRINCIPLES OF DATA REDUCTION
6.1Introduction
6.2The Sufficiency Principle
6.3The Likelihood Principle
6.4The Equivariance Principle
6.5Exercises
6.6Miscellanea
7Point Estimation
7.1Introduction
7.2Methods of Finding Estimators
7.3Methods of Evaluating Estimators
7.4Exercises
7.5Miscellanea
8HYPOTHESIS TESTING
8.1Introduction
8.2Methods of Finding Tests
8.3Methods of Evaluating Tests
8.4Exercises
8.5Miscellanca
9INTERVAL ESTIMATION
9.1Introduction
9.2Methods of Finding Interval Estimators
9.3Methods of Evaluating Interval Estimators
9.4Exercises
9.5Miscellanea
10ASYMPTOTIC EVALUATIONS
10.1Point Estimation
10.2Robustness
10.3Hypothesis Testing
10.4Interval Estimation
10.5Exercises
106Miscellanea
11ANALYSIS OF VARIANCE AND REGRESSION
11.1Introduction
11.2Oneway Analysis of Variance
11.3Simple Linear Regression
11.4Exercises
11.5Miscellanea
12Regression Models
12.1Introduction
12.2Regression with Errors in Variables
12.3Logistic Regression
12.4Robust Regression
12.5Exercises
12.6Miscellanea
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统计推断是2018年由机械工业出版社出版,作者[美]雷奥奇·卡塞拉。
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